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3 cards from this section. Quick, good the night before a test.
What is Heun's Method used for?
Think about what we need when analytical solutions fail.
What does the step size h represent?
Consider how we move along the x-axis.
What is the primary purpose of Heun's Method?
Think about the context of numerical solutions.
True or False: Heun's Method is less accurate than Euler's Method.
Recall the advantages we discussed.
Solve for y at x = 0.5 given dy/dx = y - x^2, y(0) = 1 using step size h = 0.1 and show detailed working for each stage.
Break the problem into two calculative steps: predictor and corrector.
Discuss how Heun’s Method could be adjusted or enhanced to handle stiff ODEs better.
Consider what challenges stiff ODEs pose and think about what adjustments to make.
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